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Specifically we compute the total cross sections and corresponding thermal rates of the following three-body reactions: $\\bar{\\rm p}+(e^+e^-) \\rightarrow \\bar{\\rm{H}} + e^-$ and $\\bar{\\rm p}+(\\mu^+\\mu^-) \\rightarrow \\bar{\\rm{H}}_{\\mu} + \\mu^-$, where $e^-(\\mu^-)$ is an electron (muon) and $e^+(\\mu^+)$ is a positron (antimuon) respectively, $\\bar{\\rm{H}}=(\\bar{\\rm p}e^+)$ is an antihydrogen atom and $\\bar{\\rm{H}}_{\\mu}=(\\bar{\\rm p}\\mu^+)$ is a muonic antihydrogen atom, i.e"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1309.2001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2013-09-08T19:56:21Z","cross_cats_sorted":[],"title_canon_sha256":"f8b2a257969d595409922acc2e40a991fddb08e32854eaa922787daec5a485d1","abstract_canon_sha256":"c00346ba1491b2f8f1bcce56bb0009686dccca53522b15d753997c7f8352e506"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:56.825987Z","signature_b64":"5t6Ut6SECc8q1yVaZNG6GcYCCio0AzrAiTS/IAwTv5ECmdYxvOyapKbxnf8dQdzNvYsSvwoP+3IVOafbnHzTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f724257ed2e82c2afae027c4e4b09a62705512e953d371877895458ca4dc74d7","last_reissued_at":"2026-05-18T03:13:56.825174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:56.825174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Antiproton low-energy collisions with Ps-atoms and true muonium atoms ($\\mu^+\\mu^-$)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"D. Guster, Renat A. Sultanov","submitted_at":"2013-09-08T19:56:21Z","abstract_excerpt":"Three-charge-particle collisions with participation of ultra-slow antiprotons ($\\bar{\\rm{p}}$) is the subject of this work. Specifically we compute the total cross sections and corresponding thermal rates of the following three-body reactions: $\\bar{\\rm p}+(e^+e^-) \\rightarrow \\bar{\\rm{H}} + e^-$ and $\\bar{\\rm p}+(\\mu^+\\mu^-) \\rightarrow \\bar{\\rm{H}}_{\\mu} + \\mu^-$, where $e^-(\\mu^-)$ is an electron (muon) and $e^+(\\mu^+)$ is a positron (antimuon) respectively, $\\bar{\\rm{H}}=(\\bar{\\rm p}e^+)$ is an antihydrogen atom and $\\bar{\\rm{H}}_{\\mu}=(\\bar{\\rm p}\\mu^+)$ is a muonic antihydrogen atom, i.e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2001","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1309.2001","created_at":"2026-05-18T03:13:56.825333+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.2001v1","created_at":"2026-05-18T03:13:56.825333+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2001","created_at":"2026-05-18T03:13:56.825333+00:00"},{"alias_kind":"pith_short_12","alias_value":"64SCK7WS5AWC","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"64SCK7WS5AWCV6XA","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"64SCK7WS","created_at":"2026-05-18T12:27:34.582898+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ","json":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ.json","graph_json":"https://pith.science/api/pith-number/64SCK7WS5AWCV6XAE7COJME2MJ/graph.json","events_json":"https://pith.science/api/pith-number/64SCK7WS5AWCV6XAE7COJME2MJ/events.json","paper":"https://pith.science/paper/64SCK7WS"},"agent_actions":{"view_html":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ","download_json":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ.json","view_paper":"https://pith.science/paper/64SCK7WS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.2001&json=true","fetch_graph":"https://pith.science/api/pith-number/64SCK7WS5AWCV6XAE7COJME2MJ/graph.json","fetch_events":"https://pith.science/api/pith-number/64SCK7WS5AWCV6XAE7COJME2MJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ/action/storage_attestation","attest_author":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ/action/author_attestation","sign_citation":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ/action/citation_signature","submit_replication":"https://pith.science/pith/64SCK7WS5AWCV6XAE7COJME2MJ/action/replication_record"}},"created_at":"2026-05-18T03:13:56.825333+00:00","updated_at":"2026-05-18T03:13:56.825333+00:00"}